math help

What is 80/2 + 4/9?

What is 80/2 + 4/9?

Here's how we add

80
2
+
4
9

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 80 by 9, and get 720, then we multiply 2 by 9 and get 18.

80/2 times 9

Now for the second term. You multiply 4 by 2, and get 8, then multiply 2 by 9 and get 18.

4/9 times 2

We now have a new problem, that looks like this:

720
18
+
8
18

Step 2

Since our denominators match, we can add the numerators.

720 + 8 = 728

That gives us the sum, which is

728
18

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

728
18
÷ 2 =
364
9

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 80/2 + 4/9

80
2
+
4
9
=
364
9
© 2014 Randy Tayler